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- W1542748696 abstract "This chapter is devoted to the progress made in the force method of structural analysis in recent years and summarises the state of the art. Efficient methods are developed leading to highly sparse flexibility matrices. The methods are mainly developed for frame structures; however, extensions are made to general skeletal structures and finite element analysis of continuum. A matrix formulation using the basic tools of structural analysis - equilibrium, compatibility and load–displacement relationships is described. Two methods are developed for selecting suitable generalised cycle basis (GCB) for planar trusses. In both methods, special graphs are constructed for the original graph model S of a truss, containing all the connectivity properties required for selecting a suboptimal GCB of S. The force–displacement relationship is established for a family of finite elements, namely plane stress and plain strain problems. Triangular and rectangular elements are considered with constant and linearly varying stress fields, respectively." @default.
- W1542748696 created "2016-06-24" @default.
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- W1542748696 date "2006-06-30" @default.
- W1542748696 modified "2023-10-18" @default.
- W1542748696 title "Optimal Force Method of Structural Analysis" @default.
- W1542748696 doi "https://doi.org/10.1002/9780470033326.ch3" @default.
- W1542748696 hasPublicationYear "2006" @default.
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